Figure 9
From: Calculation of vectorial derivatives for functions of a quaternion variable and their properties
Side views that can observe the effect of the size of x on the remainder term over a certain range of y using Maple 20 performance. (a) Graph observed perpendicular to the yz plane with \(x = -20 \cdots 20, y = 0 \cdots 30\). For x within \(-20\leq x\leq 20\), as the size of y is less than about 15, the remainder term is approximated to zero. (b) Graph observed perpendicular to the yz plane with \(x = -20 \cdots 20, y = 0 \cdots 60\). Except for areas where y is larger than about 55, the remainder term of \(D\sin (p)\) is closed to zero